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Finding the Fourth Proportional to 19,744.83, 29,616.57 and 4,953.87

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Solution

The fourth proportional to 19,744.83, 29,616.57 and 4,953.87 is: 7,430.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.83 : 29,616.57 = 4,953.87 : x
  2. Step 2: Convert to fraction form
    19,744.83/29,616.57 = 4,953.87/x
  3. Step 3: Cross multiply
    19,744.83x = 29,616.57 × 4,953.87
  4. Step 4: Simplify right side
    19,744.83x = 146,716,637.63
  5. Step 5: Solve for x
    x = 146,716,637.63/19,744.83
  6. Step 6: Final answer
    x = 7,430.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.